II

Engineering MechanicsI

Solutions

1. Value of h

2. Value of y

3. Value of x

4. Take off velocity

5. Cars minimum take-off velocity

6. Initial velocity and inclination

7. Angle

8. Horizontal Distance

9. Initial Velocity

10. Distance x

11. Height of the hill

12. Angle

Use a number 9 iron

13. Angle with the vertical

14. Minimum speed and angle

15. Pressure

16. Rated speed

17. Maximum speed

18. Maximum velocity

19. Speed

20. Maximum Power

21. Determine the time

22. Find the modulus

The kinetic energy of the cannon is absorbed by the nest of springs

23. Average Resistance

Where:

S = penetration of pile per blow (m)

W1 = weight of hammer

W2 = weight of pile

h = free fall height of hammer (m)

R = average resistance to penetration of pile

Substitute values:

24. Angle

25. Greatest Distance

26. Horizontal Force

27. Find the weight

28. Distance

29. Value of the angle

30. Coefficient of rolling Resistance

31. Average Velocity

32. Average Velocity

33. Distance in meters

34. Distance

35. Distance

36. Highest pointLet: H = highest point reached by the ball

H = 195 + h

37. HeightWhen s = 92

Vf = 19

When Vf = 24

38. Highest point

39. Range on the horizontal

40. Actual speed of the stone

After 10 seconds:

41. Coefficient of friction

42. Maximum height

43. Initial velocity

44. Maximum weight

45. Range of Projectile

46. Coefficient of friction

47. Coefficient of friction

48. Acceleration

For constant velocity, tangential acceleration at = 0

49. Normal Acceleration and Tangential Speed

50. Speed

51. Value of the loadFrom triangle AEF:

From triangle AEG:

52. Normal Acceleration

53. Apparent Weight

Considering FBD of man,

Considering FBD of elevator

54. Speed

55. Acceleration

56. Force

57. Spring Constant

Work done by spring = Change in K.E.

58. Maximum Deflection of spring

59. Stored Energy

60. Power Pos. Work Neg. Work = Change in K.E.

61. Value of the angle

62. Velocity

63. Height of the ball

64. Speed of the coupled cars

65. Time

66. Time

67. Velocity

68. Distance of the block

Pos. Work Neg. Work = Change in K.E.

69. Height of the ball

70. Angular accelerationa = 30 m/sec2w = 3 rad/sec

r = 4 m

ENGINEERING MATHEMATICS

L3 - 3

I

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